37312416 has 72 divisors (see below), whose sum is σ = 112363524. Its totient is φ = 11704320.

The previous prime is 37312403. The next prime is 37312421. The reversal of 37312416 is 61421373.

It can be written as a sum of positive squares in 2 ways, for example, as 32490000 + 4822416 = 5700^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 37312416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1086 + ... + 8706.

Almost surely, 2^37312416 is an apocalyptic number.

37312416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56181762).

37312416 is an abundant number, since it is smaller than the sum of its proper divisors (75051108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37312416 is a wasteful number, since it uses less digits than its factorization.

37312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7643 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 37312416 is about 6108.3889856492. The cubic root of 37312416 is about 334.1574311317.

Adding to 37312416 its reverse (61421373), we get a palindrome (98733789).

The spelling of 37312416 in words is "thirty-seven million, three hundred twelve thousand, four hundred sixteen".